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42949464 = 23323292683
BaseRepresentation
bin1010001111010…
…1101101011000
32222211001120220
42203311231120
541443340324
64132320040
71031031045
oct243655530
988731526
1042949464
1122275628
1212473020
138b8a1ac
1459c01cc
153b85b79
hex28f5b58

42949464 has 64 divisors (see below), whose sum is σ = 115948800. Its totient is φ = 13216896.

The previous prime is 42949453. The next prime is 42949469. The reversal of 42949464 is 46494924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42949469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14667 + ... + 17349.

It is an arithmetic number, because the mean of its divisors is an integer number (1811700).

Almost surely, 242949464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42949464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57974400).

42949464 is an abundant number, since it is smaller than the sum of its proper divisors (72999336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42949464 is a wasteful number, since it uses less digits than its factorization.

42949464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2740 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 42949464 is about 6553.5840575978. The cubic root of 42949464 is about 350.2025059391.

The spelling of 42949464 in words is "forty-two million, nine hundred forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 2683 4002 5336 5366 8004 8049 10732 16008 16098 21464 32196 61709 64392 77807 123418 155614 185127 233421 246836 311228 370254 466842 493672 622456 740508 933684 1481016 1789561 1867368 3579122 5368683 7158244 10737366 14316488 21474732 42949464